A variance estimator for the mean of a systematic sample in two dimensions is proposed and analyzed. The estimation strategy relies on a super-population model which follows a spatial auto-regressive structure and allows for the presence of covariates. The small sample properties of the proposed procedure are analyzed by simulations: the model-based estimation strategy shows an excellent performance in a variety of situations which are common in real situations.
Model-based variance estimation in two-dimensional systematic sampling / Espa, Giuseppe; Giuliani, Diego; Santi, Flavio; Taufer, Emanuele. - In: METRON. - ISSN 2281-695X. - ELETTRONICO. - 75:3(2017), pp. 265-275. [10.1007/s40300-017-0125-z]
Model-based variance estimation in two-dimensional systematic sampling
Espa, Giuseppe;Giuliani, Diego;Santi, Flavio;Taufer, Emanuele
2017-01-01
Abstract
A variance estimator for the mean of a systematic sample in two dimensions is proposed and analyzed. The estimation strategy relies on a super-population model which follows a spatial auto-regressive structure and allows for the presence of covariates. The small sample properties of the proposed procedure are analyzed by simulations: the model-based estimation strategy shows an excellent performance in a variety of situations which are common in real situations.| File | Dimensione | Formato | |
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